6807150 has 72 divisors (see below), whose sum is σ = 20910864. Its totient is φ = 1555200.

The previous prime is 6807139. The next prime is 6807181. The reversal of 6807150 is 517086.

It is a super-2 number, since 2×6807150² = 92674582245000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2070 + ... + 4230.

Almost surely, 2^6807150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6807150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10455432).

6807150 is an abundant number, since it is smaller than the sum of its proper divisors (14103714).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6807150 is a wasteful number, since it uses less digits than its factorization.

6807150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 6807150 is about 2609.0515518096. The cubic root of 6807150 is about 189.5200258237.

Subtracting from 6807150 its reverse (517086), we obtain a square (6290064 = 2508²).

It can be divided in two parts, 68071 and 50, that added together give a square (68121 = 261²).

The spelling of 6807150 in words is "six million, eight hundred seven thousand, one hundred fifty".